4181440 has 56 divisors (see below), whose sum is σ = 10149840. Its totient is φ = 1640448.

The previous prime is 4181431. The next prime is 4181447. The reversal of 4181440 is 441814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23271 + ... + 23449.

Almost surely, 2^4181440 is an apocalyptic number.

4181440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074920).

4181440 is an abundant number, since it is smaller than the sum of its proper divisors (5968400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4181440 is a wasteful number, since it uses less digits than its factorization.

4181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4181440 is about 2044.8569632128. The cubic root of 4181440 is about 161.1048530621.

The spelling of 4181440 in words is "four million, one hundred eighty-one thousand, four hundred forty".